The old BB's are slow, poor maneuverability and a huge radar reflection. They burn huge volumes of fuel requiring an oiler follow them around. they are vulnerable to torpedoes and air power. The Japanese super battleships (Yamato and Musashi) were both torpedoed and bombed. Most likely the subs got her.

With modern cruise missiles and torpedoes the Chinese or Iranians (our most likely adversaries at this juncture) could sink any WWII BB. And logistically, they'd always be vulnerable to logistical interdiction -- sink the oiler, stop the BB.